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Finding the Fourth Proportional to 680.23, 938.18 and 514.18

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Solution

The fourth proportional to 680.23, 938.18 and 514.18 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.23 : 938.18 = 514.18 : x
  2. Step 2: Convert to fraction form
    680.23/938.18 = 514.18/x
  3. Step 3: Cross multiply
    680.23x = 938.18 × 514.18
  4. Step 4: Simplify right side
    680.23x = 482,395.85
  5. Step 5: Solve for x
    x = 482,395.85/680.23
  6. Step 6: Final answer
    x = 709.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.